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CCSS Toolkit: Mathematics - Implementation: Claim 3


CCSS Toolkit

Claim 3: Communicating Reasoning - Students can clearly and precisely construct viable arguments to support their own reasoning and to critique the reasoning of others.




Learn About Claim 3




  • What is the rationale for Claim 3?
    This claim refers to a recurring theme in the CCSSM content and practice standards: the ability to construct and present a clear, logical, convincing argument. For older students this may take the form of a rigorous deductive proof based on clearly stated axioms. For younger students this will involve more informal justifications. Read more.
  • What does sufficient evidence looks like for Claim 3?
    Assessment of this claim can be accomplished with a variety of item/task types, including selected response and short constructed response items, and with extended constructed response tasks. Sufficient evidence would be unlikely to be produced if students were not expected to produce communications about their own reasoning and the reasoning of others. Read more.
  • What are the assessment targets for Claim 3?
    Claim #3 is aligned to the mathematical practices from the MCCSS, which are consistent across grade levels. For this reason, the Assessment Targets are not divided into a grade-by-grade description. Rather, a general set of targets is provided, which can be used as guidance for the development of item and test specifications for each grade. Read more.



Unit/Lesson Planning



Tools

  • Planning Templates
    • Scope and Sequence Documents (Louisiana)  External Link  
      Teachers across Louisiana have collaborated to create year-long scope and sequences for ELA and math. These tools should be adapted to meet the needs of teachers and the specific students they teach. NOTE: When the login/password prompt comes up, click CANCEL and the document you selected will open.
    • CCSS Student Report Templates (K-5)  External Link  
      These templates, designed by Corvallis SD TOSA Chris Caster, include the standards for each grade K-5 and are designed to be used to track CCSS related assignments and assessments. Scroll down to "Standards Report" to find the templates.
    • Quality Review Rubric for Units and Lessons  External Link  
      The Tri-State Collaborative (composed of educational leaders from Massachusetts, New York, and Rhode Island and facilitated by Achieve) has developed criterion-based rubrics and review processes to evaluate the quality of lessons and units intended to address the Common Core State Standards for ELA & Literacy.



Teaching & Learning



Tools


  • CCSS Evidence Guides: Aligned Practice Made Clear  External Link  
    These tools provide specific guidance for what the CCSS for ELA / literacy and math looks like in planning and practice. They are designed as developmental tools for teachers and those who support teachers.
  • Differentiating for individual student needs
  • Instructional Strategies
    • Mathematics Assessment Project PD Module: Improved Learning Through Questioning  External Link  
      This unit contains a selection of professional activities that are designed to help teachers to reflect on: •characteristics of their questioning that encourage students to reflect, think and reason; •ways in which teachers might encourage students to provide extended, thoughtful answers, without being afraid of making mistakes; •the value of showing students what reasoning means by 'thinking aloud'.
    • Mathematics Assessment Project PD Module: Students Working Collaboratively  External Link  
      This unit is designed to offer the professional development provider some resources that will help teachers to: •consider the characteristics of student-student discussion that benefit learning; •recognize and face their own worries about introducing collaborative discussion; •explore techniques for promoting effective student-student discussion; •consider their own role in managing student-student discussion; •plan discussion based lessons.
    • Writing to Develop Understanding PDF External Link  
      This article provides four student solutions to a problem, and discusses how to help students develop their communication skills in math.
    • Writing in Math  External Link  
      This page from West Virginia's Teach 21 web site offers resources and tools for supporting teachers in implementing writing in math instruction.
    • Practical Strategies to Improve Academic Discussions in Mixed Ability Secondary Content Area Classrooms PDF  07/25/2012 (129.30 KB)
      This article by Kevin Feldman and Kate Kinsella outlines 5 key principles to structuring academic discussions so that all students are productively engaged.
    • Structuring Active Learning PDF  07/25/2012 (101.41 KB)
      Thie one page document offers suggestions from Kevin Feldman on structuring active learning to increase student engagement.
  • Lessons
    NOTE: The inclusion of links to these sites does not constitute an endorsement by ODE.
    • Wiki-Teacher  External Link  
      The lesson plans, unit plans, centers, textbook supplements, and other resources found on Wiki-Teacher are created and shared by educators. Resources contributed to the site are reviewed by content experts and peer-rated by all of the members of Wiki-Teacher. Users can create an account free of charge.
    • National Digital Science Library  External Link  
      The NSDL Math Common Core collection features digital learning resources that address concept and skills components of the Math Common Core State Standards.
    • EduCore: Math Tools  External Link  
      Classroom Challenges, developed by the Mathematics Assessment Project (MARS), include both problem-solving and content development formative assessment lessons. Here you can access lesson plans, student materials, PowerPoint slides, and other resource materials to facilitate the implementation of the Classroom Challenges in support of the Common Core State Standards.
    • Open Education Resources (OER) Commons  External Link  
      A collection of open education resources (OER) including Common Core implementation plans, transition guides, assessment tasks, exemplars and curriculum.



Assessment



Tools


  • MAP Professional Development Module: Formative Assessment    
    The effective use of formative assessment lessons depends on the quality of feedback given by teachers to students. One important way of moving students’ thinking forward is to prompt them to reconsider their reasoning by asking carefully chosen questions.
  • Smarter Balanced Sample Summative Items for Teachers
    Covering all possible item types (selected response, constructed response, extended response, technology enhanced, and performance tasks), these samples include student items, as well as sample student responses and evaluation rubrics where appropriate. Educators can use these items to get an idea of how to design classroom tasks that will prepare students for the Smarter Balanced Assessment.
  • Sample Items and Tasks for Students  External Link  
    The items on these sites include a combination of computer adaptive items (selected response, constructed response, extended response) and performance tasks. Items can be scored using sample student responses and their accompanying scores as reference for reviewing your answer.


Contacts
  • Mark Freed Email    (503) 947-5610
    Teaching & Learning Team - Education Specialist

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